Answer:
Your answer is: K.E = 8.3 J
Explanation:
If the height (h) = 169.2 meters (m) and the mass (m) is 0.005 kilograms (kg) the total energy will be kinetic energy which is equal to the potential energy.
K.E = P.E and also P.E equals to mgh
Then you substitute all the parameters into the formula ↓
P.E = 0.005 × 9.81 × 169.2
P.E = 8.2908 J
So your answer is 8.2908 but if you round it is K.E = 8.3
Answer:
<h2>45.68 g</h2>
Explanation:
Given 45.678 g, converting the value to 4 digits is similar to converting the decimal number to 4 significant figure. We can see that the decimal number initially contains 5 numbers. To covert to a 4 digits number we will convert the last digit which is 8 to 0 because 0 is insignificant.
If the number we are converting to zero is more than 4 then the preceding number (7) will be rounded up by adding 1 to it
The decimal number will become 45.68.
Note that the value of 7 was rounded up to 8 since the value we are converting to zero is more than 4.
<em>Hence the decimal value in 4 digits is 45.68 g</em>
Answer:
104 N
Explanation:
Calculate the spring stiffness:
F = kx
32.5 N = k (0.500 cm)
k = 65 N/cm
Find the force for the new length:
F = kx
F = (65 N/cm) (1.60 cm)
F = 104 N
Answer:
Let's investigate the case where the cable breaks.
Conservation of angular momentum can be used to find the speed.
The projectile embeds itself to the ball, so they can be treated as a combined object. <u>The moment of inertia of the combined object is equal to the sum of the moment of inertia of both objects. </u>
where r is the length of the cable.
<u>After the collision, the ball and the projectile makes a circular motion because of the cable.</u> So, the force (tension) in circular motion is
The relation between linear velocity and the angular velocity is
So,
As can be seen, the maximum velocity for the projectile without breaking the cable is 
, where r is the length of the cable.
