Answer:
0.9378
Explanation:
Weight (W) of the rider = 100 kg;
since 1 kg = 9.8067 N
100 kg will be = 980.67 N
W = 980.67 N
At the slope of 12%, the angle θ is calculated as:

The drag force D = Wsinθ

where;

A = 0.9 m²
V = 15 m/s
∴
Drag coefficient 


Here we have perfectly inelastic collision. Perfectly inelastic collision is type of collision during which two objects collide, stay connected and momentum is conserved. Formula used for conservation of momentum is:

In case of perfectly inelastic collision v'1 and v'2 are same.
We are given information:
m₁=0.5kg
m₂=0.8kg
v₁=3m/s
v₂=2m/s
v'₁=v'₂=x
0.5*3 + 0.8*2 = 0.5*x + 0.8*x
1.5 + 1.6 = 1.3x
3.1 = 1.3x
x = 2.4 m/s
Answer:
218.5 N
Explanation:
In order for the sled to be in equilibrium along the vertical direction, the forces acting along this direction must be balanced. So the equilibrium equation is:

where
N is the normal force
F = 50 N is the force that pulls the sled
is the angle between the force and the horizontal, so
is the component of F acting along the vertical direction
(mg) is the weight of the sled, with
m = 25 kg being the mass of the sled
g = 9.8 m/s^2 is the acceleration due to gravity
Solving the formula for N, we find

From the Newton’s First Law, we can see that acceleration
is simply the ratio of Force over mass. In this case, mass is the sum of the
mass of each car, that is:
mass = 2300 kg + 2500 kg = 4800 kg
So the formula is:
acceleration = Force / mass
acceleration = 18,000 N / 4800 kg
acceleration = 3.75 m/s^2
In 2 significant figures:
<span>acceleration = 3.8 m/s^2</span>
It moves relative to the stars