A truck, initially at rest, rolls 1) half the height down a frictionless hill and 2) the same height attains a speed of 20 m/s at the 3) v2 times the height bottom. To achieve a speed of 40 m/s at the bottom, how many 4) twice the height times higher must the hill be? 5) four times the height

Q: A nut comes loose from a bolt on the bottom of an elevator as the elevator is moving downthe shaft…

A: Since you have posted a question with multiple subparts, we will solve the first three subparts for…

Q: A softball having a mass of 0.25 kg is pitched horizontally at 120 km/h By the time it reaches the…

A: Given, Mass of softball is 0.25 kg and speed is 120 km/h and it slowed by 10% and distance between…

Q: A 0.075 kg toy airplane is tied to the ceiling with a string. When the airplane's motor is started,…

A: (a). consider the free body diagram shown below.

Q: 8. Two ball bearings x and y are dropped vertically from a height of 1 km above the earth's surface.…

A: The objects in free fall are always accelerated at a constant acceleration called the acceleration…

Q: A bucket is hanging from a horizontally moving crane. Calculate the maximum allowable speed (m/s) of…

A: Let L denotes the rope’s length, h denotes the bucket’s maximum height, m denotes the bucket’s mass,…

Q: Largely because of riding in cars, you are used to horizontal circular motion. Vertical circular…

A: Free body diagram gives whole idea of the forces acting. Force brings about motion and changes in…

Q: A body moves in a circle at constant speed. Does the centripetal force that accelerates the body do…

A:

Q: A frictionless block of mass 0.5 kg slides down a ramp of height 0.2 m and onto a horizontal…

A:

Q: An 878-kg car skids to a stop across a horizontal surface over a distance of 45.2 m. The average…

A:

Q: Hawks soar in search of prey and then fold their wings and drop like a rock from the sky on their…

A: Since you have posted a question with a multiple sub parts, we will solve first three sub - parts…

Q: Mass is 2.0-kg. Released from rest at X, the speed at Y is closest to:

A:

Q: There is a small mass of m = 0.340 kg attached to rope that is anchored to the ceiling. The rope is…

A:

Q: A frictionless plane is 10.0 m long and inclined at 42.0°. A sled starts at the bottom with an…

A: Let us assume the sled which going up the inclined plane be sled 1 . Given, the initial speed of…

Q: One end of a string of length 1.5m is tied to a stone of mass 450gram is swung in a vertical circle.…

A:

Q: A mass m moves along a frictionless track that has a loop of radius R as shown. The mass is released…

A:

Q: 87. A roller coaster reaches the top of the steepest hill with a speed of 6.0 km/h. It then descends…

A:

Q: A skateboarder starts up a 1.0-m-high, 30∘ ramp at a speed of 7.3 m/s. The skateboard wheels roll…

A: Given  Initial velocity u = 7.3 m/s  Height of ramp = 1.0 m  Velocity at top of ramp = v  The angle…

Q: A mine car (mass=380 kg) rolls at a speed of 0.50 m/s on a horizontal track, as the drawing shows. A…

A:

Q: A loaded ore car has a mass of 950 kg and rolls on rails with negligible friction. It starts from…

A: The mass of the car, m=950 kg   The speed of the block, v=2.05 m/s   The angle of incident, θ=30.5°…

Q: A small ball is tied to a string and set rotating with negligible friction in a vertical circle.…

A:

Q: Many roller coasters have loops where carts roll on a track that curves sharply up into the air. At…

A: Given Mass m = 4560 kg Initial speed u = 0 Final speed (at top of loop ) v =10 m/s Height of loop…

Q: A mass m moves along a frictionless track that has a loop of radius R as shown. The mass is released…

A:

Q: You are driving your car on a straight road with a coefficient of friction between the tires and the…

A:

Q: A girl with a mass of 27 kg is playing on a swing. There are three main forces acting on her at any…

A: The centripetal force acts in the inward direction along the string. So the net force equation is…

Q: A frictionless plane is 10.0 m long and inclined at 30.0°. A sled starts at the bottom with an…

A: Draw the free-body diagram of the sled.

Q: A ring slides down from a height of 3.50R in a fraction less circular loop where R is the radius of…

A: Consider a ring of radius R and mass m is released from the height h within a loop and let Rloop be…

Q: a frictionless plane is 10.0 m long and inclined at 31.0 degree a sled starts at the bottom with an…

A:

Q: 1. A pulley device is used to hurl projecties from a ramp (mk 0.26) as ilustrated in the diagram.…

A:

Q: A ball moves in a vertical circle while attached to a light rope of length 0.5m fixed at its other…

A: Draw the free-body diagram of the ball when it is at the highest point.

Q: A sled weighing 100 lbs reaches the foot of a hill with a speed of 40 ft/s. The coefficient of…

A: The third equation of motion is  v2 = u2+ 2 a s  where, u is the initial velocity, v is the final…

Q: A body weighs 20N on the surface of the earth. What does it weigh on the surface of the moon?…

A: Given: Weight of body on earth = 20 N

Q: A 5.8-kg toboggan is kicked on a frozen pond, such that it acquires a speed of 2.1 m/s to the right.…

A:

Q: Leilani loads luggage into a Hawaiian Air passenger plane bound for Vegas using a conveyor belt…

A: First thing to know is that luggage will slip if the force due to acceleration is more than the…

Q: A box of mass 3.0 kg slides down a rough vertical wall. The gravitational force on the box is 29.4…

A:

Q: 1. A 3.0-kg cart on a frictionless horizontal surface is connected with an ideal string and an ideal…

A:

Q: 24. If the time required for a student to swim 500. meters is doubled, the power developed by the…

A: Power is defined as the rate of workdone. Power=workdone time=Wt

Q: A 10.0kg block is connected to a light, non-stretchable strung to a 6.30 kg mass, which is hanging…

A: Let the 10 kg mass be denoted by 'M' and the 6.3 kg mass be denoted by 'm' and tension in the string…

Q: student tries to help some local kids make a tire swing by throwing a rope over a branch, which is…

A:

Q: You are driving your car on a straight road with a coefficient of friction between the tires and the…

A:

Q: A very long way from the planet Mars (at R= c0), a martian flying saucer has run out of fuel and its…

A:

Q: You exert a quick push on a 20-g ice cube horizontally along the top of a smooth incline so that it…

A:

Q: A stone with a mass of 0.600 kg is attached to one end of a string 0.800 m long. The string will…

A: Given data: Mass of the stone, m=0.600 kg Length of the string, L=0.800 m Maximum tension in the…

Q: A 0.05KN ball is placed on a vertical circle whose length of is 1.80m. Compute the height (m)…

A: According to Newton's second law Net force= ma If an object is moving in circular motion it requires…

Q: A 0.50-kg ball that is tied to the end of a 1.7-m light cord is revolved in a horizontal plane, with…

A:

Q: To avoid a collision while traveling at a speed of 19 m/sec and descending a steep mountain pass…

A: A grade of 4.3% signifies a rise of 4.3m per 100 m run.The formula to express the ratio between the…

Newton's First Law of Motion

If a very smooth ball is rolled down an inclined surface with zero friction, the ball will continue to roll indefinitely for an infinite time, in an attempt to reach to the same height on the opposite hill!