You apply a force to a cart. The force that you apply is directed to the right. Assume that there is friction acting on the cart
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Answer: v = 2.24 m/s
Explanation: The <u>Law</u> <u>of</u> <u>Conservation</u> <u>of</u> <u>Energy</u> states that total energy is constant in any process and, it cannot be created nor destroyed, only transformed.
So, in the toy launcher, the energy of the compressed spring, called <u>Elastic</u> <u>Potential</u> <u>Energy (PE)</u>, transforms into the movement of the plastic sphere, called <u>Kinetic</u> <u>Energy (KE)</u>. Since total energy must be constant:
where the terms with subscript i are related to the initial of the process and the terms with subscript f relates to the final process.
The equation is calculated as:
v = 2.24
The maximum speed the plastic sphere will be launched is 2.24 m/s.
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50N is your force and the acceleration is -9.8m/s^2 due to gravity.
So, you just plug that in.
BUT you know that mass cannot be negative, so you just disregard the negative sign and the mass of the rock is 5.102 grams.
50N is your force and the acceleration is -9.8m/s^2 due to gravity.
So, you just plug that in.
BUT you know that mass cannot be negative, so you just disregard the negative sign and the mass of the rock is 5.102 grams.