A small boy is flipping a piece of cake across the lunch room at school. He uses a fork as a catapult by holding the handle on the table and pressing on the back of it with his thumb. Only part of the energy delivered to the fork goes into the accelerating the cake, however, as the rest goes into the moving the fork. The tines of the fork move through a distance of 15cm as the boy applies a force of 40N with his thumb through a distance of 5 cm. Only 60% of the energy is transmitted to the cake.
A. How much energy does the boy impart to the fork and cake together?
B. How much energy is imparted to the cake?
C. What force act on the cake?
answer this please
Babzhzhz
To solve these problems, we need to use the concept of work and energy. Work is defined as the force applied to an object multiplied by the distance over which the force is applied. The formula for work is:
Work = Force * Distance
A. To find the energy imparted to the fork and cake together, we need to calculate the work done by the boy's thumb on the fork and cake. The work done on the fork can be calculated by multiplying the force applied to the fork by the distance through which the force is applied:
Work on the fork = Force on the fork * Distance for the fork
Given that the force on the fork is 40N and the distance for the fork is 5 cm, which is equal to 0.05 m, we can calculate the work done on the fork:
Work on the fork = 40N * 0.05m = 2 Joules
Similarly, the work done on the cake can be calculated by multiplying the force applied to the cake by the distance through which the force is applied:
Work on the cake = Force on the cake * Distance for the cake
Since we are given that only 60% of the energy is transmitted to the cake, we can calculate the total energy imparted to the fork and cake together as:
Total energy = Energy on the fork + Energy on the cake
B. To find the energy imparted to the cake, we can use the fact that only 60% of the energy is transmitted to the cake. Therefore, the energy on the cake can be calculated as:
Energy on the cake = 60% of Total energy
C. Lastly, to find the force acting on the cake, we can rearrange the formula for work to solve for force:
Force = Work / Distance
Given that the work on the cake is the energy on the cake, and the distance for the cake is 15 cm, which is equal to 0.15 m, we can calculate the force acting on the cake as:
Force on the cake = Energy on the cake / Distance for the cake
Now that we have explained the process, let's calculate the answers to the questions A, B, and C.