Question

In: Physics

A soccer ball (mass = 0.450 kg, diameter = 0.70 m) is rolled down a 3.0...

A soccer ball (mass = 0.450 kg, diameter = 0.70 m) is rolled down a 3.0 m high ramp that makes an angle of 30 degrees with the horizontal and is 6.0 m long. Assume the ball is a hollow sphere (I = 2/3MR^2) and begins at rest. How long (in seconds) would it take the ball to reach the bottom of the ramp?

Solutions

Expert Solution

As the soccer ball rolls along the ramp, its potential energy is converted into rotational kinetic energy and translational kinetic energy.

==================

Use formula to find the acceleration

===================

Use formula to find the time

ANSWER:

=====================


Related Solutions

Ball 1 with mass 1 kg moves at constant velocity to the right at 3.0 m/s,...
Ball 1 with mass 1 kg moves at constant velocity to the right at 3.0 m/s, towards Ball 2 with mass 2 kg moving to the right at 1.5 m/s. 1 and 2 collide elastically. What is the final velocity of 1 and 2?
1.A soccer player kicks a soccer ball of mass 0.45 kg that is initially at rest....
1.A soccer player kicks a soccer ball of mass 0.45 kg that is initially at rest. The player's foot is in contact with the ball for 1.70 × 10-3 s, and the force of the kick is given by F(t) = [(6.56 × 105)t - (3.86 × 108)t2] N for 0≤t≤1.70×10-3s, where t is in seconds. Find the magnitudes of the following: (a) the impulse on the ball due to the kick, (b) the average force on the ball from...
A pendulum consists of a ball of mass 3.0 kg on a string of length 4.0...
A pendulum consists of a ball of mass 3.0 kg on a string of length 4.0 m. The ball is pulled back untilits center has risen to a height of 0.80 m. The ball is released such that it strikes a 1.0 kg block at thebottom of its swing. The block comes to a rest after traveling 2.0 m across a surface withμk= 0.15.What is the speed of the ball right after the collision? Is the collision elastic?
A 2.0-kg ball moving at 10 m/s makes an off-center collision with a 3.0-kg ball that...
A 2.0-kg ball moving at 10 m/s makes an off-center collision with a 3.0-kg ball that is initially at rest. After the collision, the 2.0-kg ball is deflected at an angle of 30° from its original direction of motion and the 3.0-kg ball is moving at 4.0 m/s. Find the speed of the 2.0-kg ball and the direction of the 3.0-kg ball after the collision. Hint: sin2θ + cos2θ = 1. speed of 2.0-kg ball   m/s direction of 3.0-kg ball...
A 2.0 kg ball and a 3.5 kg ball are connected by a 3.0-mm-long rigid, massless...
A 2.0 kg ball and a 3.5 kg ball are connected by a 3.0-mm-long rigid, massless rod. The rod and balls are rotating clockwise about its center of gravity at 18 rpm. What magnitude torque will bring the balls to a halt in 6.0 s?
1) A 0.490 kg soccer ball is kicked and hits a 2.45 kg stationary tether ball...
1) A 0.490 kg soccer ball is kicked and hits a 2.45 kg stationary tether ball hanging from a 1.49 m tether resulting in a perfectly elastic collision. If the tether ball swings out at a maximum angle of 45.4°, what was the soccer ball's velocity before the collision? 2) A 5.27 g pellet is shot horizontally from a BB gun at a speed of 15.2 m/s into a 21.1 g wooden block. The wooden block is attached to a...
Calculate the terminal velocity in free fall of a bowling ball (mass of 7.2 kg, diameter...
Calculate the terminal velocity in free fall of a bowling ball (mass of 7.2 kg, diameter of 21.6 cm) and a basketball (mass of 0.51 kg, diameter of 23.85 cm). The bowling ball can be considered a smooth sphere (Cd = 0.1), while the basketball can be considered a rough sphere (Cd = 0.4). What would be the terminal velocity of the basketball if we considered it a smooth sphere?
A spherical bowling ball with mass m = 3.3 kg and radius R = 0.11 m...
A spherical bowling ball with mass m = 3.3 kg and radius R = 0.11 m is thrown down the lane with an initial speed of v = 8.9 m/s. The coefficient of kinetic friction between the sliding ball and the ground is ? = 0.28. Once the ball begins to roll without slipping it moves with a constant velocity down the lane. What is the magnitude of the angular acceleration of the bowling ball as it slides down the...
A sticky ball of mass 0.0450 kg, traveling with a speed of 22.0 m/s in a...
A sticky ball of mass 0.0450 kg, traveling with a speed of 22.0 m/s in a direction 30.00 below the +x axis collides with another moving ball, of mass 0.0119 kg, traveling in a direction 44.70 above the +x axis. The two balls stick together and keep moving horizontally. The initial speed of the second ball is: a) 59.1 m/s b) 18.9 m/s c) 75.7 m/s d) 30.2 m/s e) 42.6 m/s
A 60 kg soccer player jumps vertically upwards and heads the 0.45 kg ball as it...
A 60 kg soccer player jumps vertically upwards and heads the 0.45 kg ball as it is descending vertically with a speed of 27 m/s. If the player was moving upward with a speed of 4.0 m/s just before impact, what will be the speed of the ball immediately after the collision if the ball rebounds vertically upwards and the collision is elastic? ______m/s If the ball is in contact with the player's head for 20 ms, what is the...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT