Tom and his little sister are enjoying an afternoon at the ice rink. The playful

Question

Tom and his little sister are enjoying an afternoon at the ice rink. The playfully place their hands together and push against each other. Tom's mass is 69 kg and his little sister's mass is 15 kg. which of the following statements is correct? They both experience the same force. The force experienced by the sister is less than the force experienced by Tom. The force experienced by Tom is less than the force experienced by his sister. which of the following statements is correct? Tom's acceleration is more than the sister's acceleration. They both have the same acceleration. Tom's acceleration is less than the sister's acceleration. If the sister's acceleration is 2.3 m/s^2 in magnitude, what is the magnitude of Tom's acceleration? A baseball pitcher in good form car throw a baseball that attains a speed of 63mi/h in a distance of 1.2 m. Assume that the ball starts from rest and its mass is 0.15 kg. Determine the average force exerted on the ball How would the pitcher need to alter the required lone to reach the same speed if the mass of the ball is decreased? The pitcher would need to increase the force. The pitcher would need to decrease the force The pitcher would not need to change the force

Explanation / Answer

Vi = initial velocity of baseball = 0 m/s

Vf = final velocity of baseball = 83 mi/h = 37.1 m/s

d = distance travelled = 1.2 m

a = acceleration

using the equation

Vf2 = Vi2 + 2 a d

37.12 = 02 + 2 a (1.2)

a = 573.5 m/s2

m = mass of baseball = 0.15 kg

average force is given as

F = ma = 0.15 x 573.5 = 86.025 N

b)

as the speed decreases , the acceleration of the ball will decreases and hence the pitcher would need to decrease the force

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