<span>The amount of kinetic energy an object has
depends on its mass and speed.</span>
<span>Frequency x Wavelength = Speed of light
Now, speed of light = 3 x 10^5 km/s = 3 x 10^8 m/s = 3 x 10^10 cm/s
Frequency = speed/Wavelength
= (3 x 10^10)/(4.257 x 10^-7)
=7 x 10^16 Hz</span>
Answer:
The correct answer is option D
Answer:
a) ![W_g =61.25J](https://tex.z-dn.net/?f=W_g%20%3D61.25J)
b) ![W_k = -46.25J](https://tex.z-dn.net/?f=W_k%20%3D%20-46.25J)
c) ![W_N = 0](https://tex.z-dn.net/?f=W_N%20%3D%200)
d)
would be the same.
would decrease.
would be the same.
Explanation:
a) On an inclined plane the force of gravity is the sine component of the weight of the block.
![F_g = mg\sin(\theta) = 5(9.8)\sin(30^\circ)\\W_g = F_g x = 5(9.8)\sin(30^\circ)2.5 = 61.25J](https://tex.z-dn.net/?f=F_g%20%3D%20mg%5Csin%28%5Ctheta%29%20%3D%205%289.8%29%5Csin%2830%5E%5Ccirc%29%5C%5CW_g%20%3D%20F_g%20x%20%3D%205%289.8%29%5Csin%2830%5E%5Ccirc%292.5%20%3D%2061.25J)
b) The friction force is equal to the normal force times coefficient of friction.
![F_k = -mg\cos(\theta)\mu_k = -5(9.8)cos(30^\circ)0.436 = -18.5 N\\W_k = -F_kx = -46.25J](https://tex.z-dn.net/?f=F_k%20%3D%20-mg%5Ccos%28%5Ctheta%29%5Cmu_k%20%3D%20-5%289.8%29cos%2830%5E%5Ccirc%290.436%20%3D%20-18.5%20N%5C%5CW_k%20%3D%20-F_kx%20%3D%20-46.25J)
c) The work done by the normal force is zero, since there is no motion in the direction of the normal force.
d) The relation between the vertical height and the distance on the ramp is
![h = x\sin(\theta)](https://tex.z-dn.net/?f=h%20%3D%20x%5Csin%28%5Ctheta%29)
According to this relation, the work done by the gravity wouldn't change, since the force of gravity includes a term of
.
The work done by the friction force would decrease, because both the cosine term and the distance on the ramp would decline.
The work done by the normal force would still be zero.