﻿ A spring has a spring constant 40 Nm. It is compressed by a distance 10 cm. The mass of the cart
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### Question

A spring has a spring constant = 40 N/m. It is compressed by a distance 10 cm. The mass of the cart is 300 grams. The angle of incline of the track is 20. Calculate: a) Potential energy of the compressed spring b) Kinetic energy when the cart leaves the spring c) Distance along the track to which the cart travels

### Solution

xxx xxxxxxxxx energy xxxxxx in x xxxxxx xx given xy this xxxxxxx: x = x/x • x • x^x xxxxx U xx xxx xxxxxxxxx energy, x is xxx xxxxxx xxxxxxxx, and x is xxx xxxxxxxx xxxx the xxxxxx is xxxxxxxxxx xx xxxxxxxxx. Thus, xx this xxxx: x = x/x • x • x^x U = 1/2 • xxx x/x • (x.x m)^2 x = xx N/m • 0.04 x^x x = 2 xxxxxx xxx xxxxxxx xxxxxy of xxx block xxxx xx xxxxx to xxx potential xxxxxy xx xxx spring. xxxx happens xxxxxxx xxx xx the xxxxxy stored xx xxxxxxx xxxxxxxxx energy xx the xxxxxx xx xxxxxxxxx into xxxxxxx energy xxxx xxx xxxxxx is xxxxxxxx. Since xx = x/x • x • x^x, xx xxxx that: 1/2 • x • v^2 = U x • x^x = xx v^2 = xx/x x = xxxx (2U/m) xy xxxxxxxxxxxx m = 0.5 xx xxx x = x Joules, yxx xxx: v = SQRT (x x / 0.5 xx) v = xxxx (x m^2/s^2) x = x.xxx x/x So, xxx final xxxxxx xx xxxx the xxxxxxxxx energy xx xxx xxxxxx is x Joules, xxx xxx xxxxxxxy of xxx block xx x.xxx x/x. Hope xxxx helps!

A spring has a spring constant = 40 N/m. It is compressed by a distance 10 cm. The mass of the cart is 300 grams. The angle of incline of the track is 20. Calculate: a) Potential energy of the compressed spring b) Kinetic energy when the cart leaves the spring c) Distance along the track to which the cart travels
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