To solve this problem we will apply the concepts related to the conservation of the Momentum. For this purpose we will define the momentum as the product between mass and velocity, and by conservation the initial momentum will be equal to the final momentum. Mathematically this is,

Here,
= Mass of Dan and Skateboard respectively
= Initial velocity of Dan and Skateboard respectively
= Final velocity of Dan and Skateboard respectively
Our values are:
Dan's mass

Mass of the skateboard

Both have the same initial velocity, then

Final velocity of Skateboard is

Rearranging to find the final velocity of Dan we have then,



Replacing,


Therefore Dan will touch the ground at a speed of 3.76m/s
Answer:
55.56 watt
Explanation:
Work (W) = 1000 J
time (T) = 18 sec
power (P) = ?
We know power is the rate of doing work so
p = w / t
= 1000 / 18
= 55. 56 watt
Answer:
The work done by gravity is 784 J.
Explanation:
Given:
Mass of the block is, 
Height to which it is raised is, 
Acceleration due to gravity is, 
Now, work done by gravity is equal to the product of force of gravity and the distance moved in the direction of gravity. So,

Force of gravity is given as the product of mass and acceleration due to gravity.
. Now,

Therefore, the work done by gravity is 784 J.
Answer:
3.9E-8
Explanation:
We know that
Mv²/r = Bqv
So
r= mv/Bq
But E is 1/2mv² which is 5.53eV
m²v² =2m x 5.53eV
mv = √( 2 x 9.1E-31)
So
r= √( 2 x9.1E-31 x 5.53)/ 7.83x10^-4 x1.6E-19
= 3.9x10-8cm
Explanation:
3-squared + 4-squared = 5-squared
The bug's displacement is 5cm east.