Answer:
0.43
Explanation:
Sum of forces in the y direction:
∑F = ma
N − mg = 0
N = mg
There are friction forces in two directions: centripetal and tangential. The centripetal acceleration is:
ac = v² / r
ac = (35 m/s)² / 564 m
ac = 2.17 m/s²
The total acceleration is:
a = √(ac² + at²)
a = √((2.17 m/s²)² + (3.62 m/s²)²)
a = 4.22 m/s²
Sum of forces:
∑F = ma
Nμ = ma
mgμ = ma
μ = a / g
μ = 4.22 m/s² / 9.8 m/s²
μ = 0.43
Answer:
Theta1 = 12° and theta2 = 168°
The solution procedure can be found in the attachment below.
Explanation:
The Range is the horizontal distance traveled by a projectile. This diatance is given mathematically by Vo cos(theta) t. Where t is the total time of flight of the projectile in air. It is the time taken for the projectile to go from starting point to finish point. This solution assumes the projectile finishes uts motion on the same horizontal level as the starting point and as a result the vertical displacement is zero (no change in height).
In the solution as can be found below, the expression to calculate the range for any launch angle theta was first derived and then the required angles calculated from the equation by substituting the values of the the given quantities.
Explanation:
Beloware attachments containing the complete question and solution.
Answer:
The speed of the ball B is 6.4 m/s. The direction is 50 degrees counterclockwise.
Explanation:
Assuming the collision is elastic, use the conservation of momentum to solve this problem. The conservation law implies that:

(the total momentum of the two balls is the same before (index 0) and after (index 1) the collision). Since B is stationary and A and B have the same mass, this simplifies to:

and allows us to determine the velocity of ball B after the collision:

The above involves vectors. Your problem suggests to use the component method, which I am assuming means solving the above equation separately along the x and y axes. Define x to align with the original line of motion of the ball A before the collision, and y to be perpendicular to x, pointing up:

We just need to compute the x- and y-components of the known velocity of the ball A. Drs. Sine and Cosine come to help here.

so

The speed of the ball B is
. The direction (angle from horizontal) is
, i.e., 50 degrees counterclockwise.
Answer:
The temperature of hot reservoir is 669.24 K.
Explanation:
It is given that,
Efficiency of gasoline engine, 
Temperature of cold reservoir, 
We need to find the temperature of hot reservoir. The efficiency of Carnot engine is given by :




So, the temperature of hot reservoir is 669.24 K. Hence, this is the required solution.