A cannon has an initial hight of 10 meters. The cannon ball has a weight of 15kg. There is no air resistance. If the cannon is fired with an initial angle of 0 degrees and an initial speed of 5 meters/second, what is the range?

Q: A butterfly moves with a speed of 12.0 m/s The x component of its velocity is 8 00 m/s The angle…

A: Given x component of velocity is vx=8.00 m/s Speed of butterfly is v=12.0 m/s

Q: Which of the vectors is the result of P+ Q?

A: Required : Direction of the resultant vector.

Q: 8. Consider a projectile motion in two dimensions. Let the muzzle velocity of the projectile be v₁ =…

A:

Q: You roll a bowling ball across a pool deck at 6 m/s and it launches horizontally into the pool. The…

A: Given data:  Initial velocity in horizontal direction (v0x) = 6 m/s Initial velocity in vertical…

Q: In the formula F = qu x B: OF must be perpendicular to but not necessarily to B OF must be…

A: Answer : F must be perpendicular to both v and B .

Q: Consider the vectors A = 2.0i - 4.0j + k, B = 3.0i + 4.0j + 10.0k, C = -3.0i - 4.0j, D = -3.0i +…

A: Given,A = 2.0i - 4.0j + 1kB = 3.0i + 4.0j + 10.0k C = -3.0i - 4.0jD = -3.0i + 4.0jE = -2.0i + 3.0j +…

Q: Two vectors are given by a = 2.5î + 5.6ĵ and b = 7.9î + 2.4ĵ. Find (a) a × b ,(b) đ b,(c) (a + b). b…

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Q: A ball is projected with a velocity of 10 m/s at an angle 30 degrees with the horizontal surface.…

A: Given data: Initial velocity of projectile v0 = 10 m/s Angle (θ) = 30° with the horizontal Required:…

Q: In the Projectile experiment, the projectile was fired horizontally with an initial velocity (Vo)…

A: This question based on Motion in a plane topic. Slope of any graph is the ratio of change in the…

Q: What is the angle between vector à = 4î + 2ĵ + 5k with x-axis? 53.4° O 172.6° O 41.7° O 72.6° O

A: Given data The vector equation of vector A is given as A→=4i^+2j^+5k^.

Q: A hockey puck travels with a displacement of 4.2 m [S 38° W]. It is then struck by a player’s stick…

A:

Q: pult is tested by Roman legionnaires. If they tabulate the results. Range = .20 km, angle of launch…

A: Given:- R = 0.20 km = 200 m  Angle of lunch = pi/4 = 180/4=450 Find:- What is the initial velocity…

Q: From the top of the hill inclined at an angle of 30 degrees, a projectile is fired with a velocity…

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Q: A baseball is hit at an angle ○ horizontal eighth the ground. Suppose the initial velocity is 100…

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Q: Find the angle between vectors for (a)D= (-3.0i – 4.0j ) m and A = (-3.0i + 4.0j ) m and (b) D =…

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Q: Homework problem #4 (Work-Energy section)

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Q: A roller coaster of mass 5 kg is launched horizontally by a compressed spring a distance of .2 m and…

A: Given data :k=15000 N/mHi=15 mm=5 kgx=0.2 mwhere, k is the spring constant Hi is the height m is the…

Q: The angle made by the two vectors A i + 4j + 5k and B = 5i + 7j + 9k is: A 14.80 degrees 34.80…

A: Given: A→=i^+4j^+5k^B→=5i^+7j^+9k^

Q: A roller coaster of mass 5 kg is launched horizontally by a compressed spring a distance of .2 m and…

A:

Q: Given vectors P=(3 m, 4 m) and Q=(4 m, 3 m), find the angle of P + Q.

A:

Q: A butterfly moves with a speed of 12 m/s. The x component of its velocity is 8 m/s. The angle…

A: Given :       Speed of the butterfly, v = 12 m/s      The x component of its velocity, vx = 8 m/s…

Q: if A⃗ =2i+3j+6kA→=2i+3j+6k and A⃗ =3i−4j+2kA→=3i−4j+2k, then the angle between the two vectors is

A:

Q: What is the angle between vectors A - 2i + 3j + k and B- 3i • 2j + K? O 21.79 O 42.88° 85.90° O…

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Q: the angle between the horizontal and the firing direction of a bullet is 45°. then the ratio between…

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Q: A projectile is fired vertically upward with a given initial velocity. It reaches a maximum height…

A: Given: The maximum height attained by the projectile in the first case is 100 m. The direction of…

Q: Given these vectors: A = (0.9)î + (-9.8)ĵ+ (7.8)k B = (8.7)î + (0.2)ĵ+(-8.9)k | Find the value of…

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Q: Consider three vectors A = 15.3i + 1.7j, B = 9.5i + 9.1j, and C = -2.7i - 11.4j. What is the result…

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Q: A shot is fired at an angle of 45° with a horizontal and a velocity of 300 fps. Calculate the range…

A:

Q: A wind blowing has an Eastward (X) component of 3 km/h and a Northward (Y) component of 1 km/h. The…

A: Represent the velocity of the wind in vector form. v→=Xi^+Yj^v→=3 km/hi^+1 km/hj^

Q: Two vectors and are given by A=5i+6j+7k and B= 3i-8j+2k. If these two vectors are drawn starting at…

A:

Q: 18. Find the range of a canon which fires a shell at 45 m/s at an angle of 45 degrees with the…

A: Given Data  Initial speed of the canon is v0=45 m/s Angle with the horizontal is θ=45°   Required…

Q: | Two vectors are given by these expressions: Ä = -3i+7j- 4k and B = 6i – 10j+ 9k. Evaluate the…

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Q: If a 0.11 kg ball is launched straight up with an initial speed of 3.8 m/s, what will the speed of…

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Q: A guided missile is propelled from the origin of a coordinate system with the x-axis along the…

A:

Q: What is the angle between vector Å = 5î + 2ĵ + 9k with x-axis? 130.8° 30.8° 80° 61.5°

A: Given: The vector A is 5i^+2j^+9k^. The unit vector along the x-axis is i^.

Q: At a horizontal distance of 33 m from the bottom of a tree, the angle of elevation to the top of the…

A: Visualize the Problem:

Q: We have two vectors A=(6.0, 9.6) and B=(-8.6, 4.4). What angle does the sum of these vectors make…

A: A = (6, 9.6), B = (- 8.6, 4.4)  Write the vectors in the component form A→ = 6 i^ + 9.6 j^B→ =  -…

Q: YA 7. 60° Ā A = 10.0 30° 30° B 53° D = 20.0 (37° 10 C = 12.0 F = 20.0 10 B = 5.0

A: Given, 5 vectors A, B, C, D & F with magnitudes & angles.

Q: Given two vectors A=3i - 4k and B = -5j. What is the angle between these vectors?

A:

Q: A butterfly moves with a speed of 12 m/s. The x component of its velocity is 8 m/s. The angle…

A: Here given the butterfly moves with a speed of 12 m/s. The x component of the velocity 8 m/s.We have…

Q: A cannon has an initial hight of 10 meters. The cannon ball has a weight of 15kg. There is no air…

A: As the cannon is fired at an angle, θ = 0°, the initial velocity of the cannonball can be written in…

Q: Aball is projected at an angle of 30° above the horizontal with a speed of 35 m/s. What will be its…

A: Given, Angle of projection=30 speed=35 m/s Now we have to find the horizontal range

Q: A particle is acted upon by force 5,8,6 and 10N respectively. The angle between them are 60°,30°,60°…

A: Given data  A=5 NB=8 NC=6 ND=10 N Resultant force equal to the vector sum of the all the force…

Q: Compare the range of an idealized projectile and that of a projectile with air resistance. What…

A: The projectile motion WITHOUT air resistance is given by: x = ux×t(that is ax = 0 m/s2)y =…

Q: A ball thrown at an angle of 28 deg. above the horizontal , is caught by a player 122 m from the…

A:

Q: A projectile with a muzzle velocity of 550 m/s is fired from a gun on top a cliff 460 meters above…

A: Solution: (a) The horizontal range of projectile is given by:…

Q: What is the angle between vectors A- 2i + 3j + k and B- 3i • 2j • K?

A: Given Data: The vector A is: A=2i+3j+k The vector B is: B=3i+2j+k

Newton’s Third Law of Motion

The horse pulls the cart and the cart pulls the horse in response as per Newton third law. So the big question is, “Don’t the two forces cancel each other? How does the cart accelerate?”