(( Question 1 )) How much more gravitational potential energy does a 1.3kg hamme

Question

((Question 1))

How much more gravitational potential energy does a 1.3kg hammer have when it is on a shelf 1.7m high than when it is on a shelf 0.90m high?

Express your answer using two significant figures.

((QUESTION 2)) A 2.5kg box that is sliding on a frictionless surface with a speed of 11m/s approaches a horizontal spring. (see the figure(Figure 1) ) The spring has a spring constant of 1900N/m .

Part A

If one end of the spring is fixed and the other end changes its position, how far will the spring be compressed in stopping the box?

Express your answer using two significant figures.

Part B

How far will the spring be compressed when the box

Explanation / Answer

1) dE = m g dh = 1.3*9.81*(1.7-0.9)= 10.2 J

2) a) 1/2 mv^2 = 1/2 k x^2

2.5*11^2 = 1900*x^2
x=0.40 m

b) 1/2 mv^2 = 1/2 mv^2 + 1/2 kx^2
2.5*11^2 = 2.5*(11/2)^2 + 1900*x^2
x=0.35 m

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