Suppose Kevin, a 60.0-kg gymnast, climbs a rope. (a) What is the tension in the rope if he climbs at a constant speed? (b) What is the tension in the rope if he accelerates upward at a rate of 1.50 m/s²?

What force does a trampoline have to apply to Jennifer, a 45.0-kg gymnast, to accelerate her straight up at 7.50 m/s²? The answer is independent of the velocity of the gymnast - she can be moving up or down or can be instantly stationary.

A basketball referee tosses the ball straight up for the starting tip-off. At what velocity must a basketball player leave the ground to rise 1.25 m above the floor in an attempt to get the ball?

A brave but inadequate rugby player is being pushed backward by an opposing player who is exerting a force of 800.0 N on him. The mass of the losing player plus equipment is 90.0 kg, and he is accelerating backward at 1.20 m/s². (a) What is the force of friction between the losing player's feet and the grass? (b) What force does the winning player exert on the ground to move forward if his mass plus equipment is 110.0 kg?

A ball is kicked with an initial velocity of 16 m/s in the horizontal direction and 12 m/s in the vertical direction. (a) At what speed does the ball hit the ground? (b) For how long does the ball remain in the air? (c) What maximum height is attained by the ball?

A sailboat has a mass of 1.50 × 10³ kg and is acted on by a force of 2.00 × 10³ N toward the east, while the wind acts behind the sails with a force of 3.00 × 10³ N in a direction 45° north of east. Find the magnitude and direction of the resulting acceleration.

A cleaner pushes a 4.50-kg laundry cart in such a way that the net external force on it is 60.0 N. Calculate the magnitude of its acceleration.

Suppose you have a 120-kg wooden crate resting on a wood floor, with coefficient of static friction 0.500 between these wood surfaces. (a) What maximum force can you exert horizontally on the crate without moving it? (b) If you continue to exert this force once the crate starts to slip, what will its acceleration then be? The coefficient of sliding friction is known to be 0.300 for this situation.

Consider the tension in an elevator cable during the time the elevator starts from rest and accelerates its load upward to some cruising velocity. Taking the elevator and its load to be the system of interest, draw a free-body diagram. Then calculate the tension in the cable. Among the things to consider are the mass of the elevator and its load, the final velocity, and the time taken to reach that velocity.

Sketch the image of A(3, -4) after the described glide reflection. Translation: (x, y) → (x + 1, y + 4) Reflection: in y = 4x

The autonomic nervous system can increase heart rate through what mechanism?

Investigate the safety guidelines for foodservice kitchens in your state. Write a report on why these guidelines were chosen for inspection.

State the number of possible real zeros and turning points of each function. than determine all of the real zeros by factoring. $f(x)=6 x^{5}-150 x^{3}$

What were the causes and consequences of racial tension in the 1940s?