A knife is dropped from the top of a 13.0 m high mast on a ship moving at 1.73 m/s due south. (a) Calculate the velocity of the knife relative to the ship when it hits the deck of the ship. (b) Calculate the velocity of the knife relative to a stationary observer on shore. (c) Discuss how the answers give a consistent result for the position at which the knife hits the deck.

Q: The egg is launched at a speed of 47 m/s at an angle of 56 degrees above the horiztonal. At exactly…

A:

Q: To decide who pays for lunch, a passengeron a moving train tosses a coin straight upward with an…

A: (a) Relative to the ground, the coin has both vertical horizontal components of velocity. However,…

Q: An artillery shell is fired with an initial velocity of 300m / s at 50.5 degrees above the…

A:

Q: A rifle with a muzzle velocity of 450m/s shoots at a bullet at a target 50 m away . How high above…

A:

Q: A red train traveling at 72 miles/hour (mph) and a green train traveling at 100 mph are headed…

A: Given information: The speed of the red train (Vr) = 72 mph we know that:1 mile = 1609 m1 mile/hr =…

Q: A baseball is hit at a velocity of 1o0fps at an angle 20° above the horizontal. Will the ball hit a…

A:

Q: n object is shot at a velocity of 14 m/s [21ᵒ above the horizontal] from a 12 m tall cliff.…

A:

Q: After firing, the velocity of the rifle (relative to the ground) is:

A: Using concept o conservation of linear momentum MU  +mu= MV+ mv M= mass of gun= 6.1kg m= mass of…

Q: If someone is riding in the back of a pickup truck and throws a softball straight backward, is it…

A: Let say the truck is moving with speed v towards the right side and the person at the back of the…

Q: Is the velocity of a projectile at its maximum height zero? Why?

A: Velocity of projectile has both x and y components. At the highest point, y component is zero. But…

Q: Your teacher stands 20 meters from a wall and fires a dart gun which hits the wall 1 m below the…

A: distance between teacher and wall = 20 m horizontal distance travelled by dart X = 20 m vertical…

Q: two identical box moves with the same speed along perpendicular trajectories, one along horizontal…

A: During collision ,no external force acts on the system ,so total linear momentum of system remains…

Q: An athlete crosses a 25-m-wide river by swimmingperpendicular to the water current at a speed of 0.5…

A:

Q: Two trains travel on parallel tracks in the same direction. The first train has a length of 100m and…

A:

Q: A canoe has a velocity of 0.420 m/s southeast relative to the earth. The canoe is on a river that is…

A:

Q: A projectile is launched from ground level with an initial velocity of v0 feet per second.…

A: Height of projectile is given by the formula : s = - 16t2 + votwhere vo = initial velocity = 128…

Q: a fish swimming in a horizantal plane has velocity vi=(4.00i+1.00j) m/s at the point in the ocean…

A: Let vi and vf be the initial and final velocity vector of the fish.

Q: pitcher throws a fastball horizontally toward home plate 18.39 meters away. If the ball is traveling…

A: V=40 m/s

Q: A mountain climber jumps a crevasse of width W by leapinghorizontally with speed v0. (a) If the…

A: Time to cross the crevasses width

Q: A train is travelling to the right at 40 m/s. A child is chasing a ball that is rolling down the…

A: Given train speed = 40 m/s  (towards right) A child is chasing a ball that is rolling down the aisle…

Q: A swimmer in a river is chatting with a friend who is on the river bank. If the river current is…

A: Given,  River current flowing at 0.112 mph to the east. One person is on the river bank and one is…

Q: d the velocity of the bird relative to earth  b) Find the t

A: GivenVelocity of each train, vT=50 mi/hInitial distance between A and B Train=100 milesTime taken by…

Q: A spy in a speed boat is being chased down a river by government officials in a faster craft. Just…

A: Time taken by both boats to fall through height 7.3 m is same as their initial velocity in vertical…

Q: A highjacker inside a plane flying at 400km/h [w] fires a gun eastward. The muzzle velocity of the…

A:

Q: A boat is aimed at the opposite shore of a 324.06 m wide river and rowed at a speed of 4.02 m/s…

A: Resultant of two vector perpendicular to each other is  R = √(A2 + B2)  Where A is the magnitude of…

Q: A boat crosses a river of width 225 m in which the current has a uniform speed of 1.35 m/s. The…

A:

Q: A motorboat is crossing a river that flows eastward at a speed of 5 km/h. If the boat needs to…

A: Given: Velocity of river with respect to ground, VRG= 5 km/hr (towards east) = 5 i^ km/hr Required…

Q: A projectile is lauched from the ground level with an velocity of v^0 feet per second. Neglecting…

A: In the given question, Initial velocity ( v0) = 96feet/second The height after launch is given by…

Q: A person standing on a bridge overlooking a highway, thinking of Isaac Newton, unintentionally drops…

A:

Q: catapult is placed 100 feet from the castle wall, which is 35 feet high. The soldier wants the…

A: GivenA catapult is placed 100 feet from the castle wall, Height of wall, H=35 ftInitial velocity of…

Q: A projectile is launched from ground level with an initial velocity of vo feet per second.…

A:

Q: A tennis ball rolls off the edge of a tabletop 0.750 mm above the floor and strikes the floor at a…

A:

Q: We choose a reference system with the positive x-axis in the eastward direction and the positive…

A:

Q: As an airplane taxies on the runway with a speed of 16.5 m>s,a flight attendant walks toward the…

A: The velocity of the flight attendant relative to the ground will be the sum of the velocity of the…

Q: A particle is launched, from O(0,0) at a speed of 30m/s at an angle of 30°. The time taken by the…

A: if the particle is launched at the speed of 30 m/s at an angle of 30owith the horizontal, then,…

Q: Show that the path of a projectile is a parabola.

A: When a body is projected with a speed u with an angle of inclination theta with the horizontal line.

Q: A rifle that shoots bullets at 451 m/s is to be aimed at a target 43.6 m away. If the center of the…

A: The given question can be represented in a figure as follows: (since the path of the bullet will be…

Q: Cian walks towards the front of a boat that is travelling 18 km/h east. If Cian's walks at 3.0 km/h…

A:

Q: A man on a motorcycle traveling at a uniform speed of 10 m/s throws an empty can straight upward…

A: Consider the horizontal distance covered by the can be x. Hence, determine the time required for the…

Q: Suppose a cannon, placed on a moving cart with negligible friction in the wheel bearings, projects a…

A: This is a problem regarding the Newton's third law of motion, and the components of the force and…

Q: A 124-kg balloon carrying a 22-kg basket is descending with a constant downward velocity of 20.0…

A:

Q: The bullet was ejected from a muzzle of the gun with a velocity of 270m/s and is directed vertically…

A: When a projectile reaches its maximum height that means it will fall down after that and during that…

Q: The projectile is launched from ground level with an initial velocity of v0 feet per second.…

A: Given data: s=-16t2+v0t

Q: A ballistic rocket is fired with a speed equal to its escape velocity, so its trajectory is a…

A:

Q: A red train traveling at 72 km/h and a green train traveling at 144 km/h are headed toward each…

A: The formula for the distance traveled by the trains before they come to rest is:

Q: A particle is projected with a velocity such that its range on the horizontal plane is twice the…

A:

Q: Verify that the coin dropped by the airline passenger in the Example 3.8 travels 144 m horizontally…

A: Given: The coin dropped by the airline passenger travels 144 m horizontally while falling 1.50m in…

Relativistic Energy and Momentum

According to classical physics, time flow is the same for every observer. But according to einstein's theory, time flow is different for different observers. The idea that time flow is not the same for all may sound strange because we may not experience this effect in everyday life. This effect is only observed when an object moves with some velocity comparable to the velocity of light. This velocity is termed relativistic velocity.