Answer:
68.8 N 13.8°N of W
Explanation:
F₁ is 50 N 30°N of W. The terminal angle is 150°.
F₂ is 25 N 20°S of W. The terminal angle is -160°.
Graphically, you can add the vectors using head-to-tail method. Move F₂ so that the tail of the vector is at the head of F₁. The resultant vector will be from the tail of F₁ to the head of F₂.
Algebraically, find the x and y components of each vector.
F₁ₓ = 50 N cos(150°) = -43.3 N
F₁ᵧ = 50 N sin(150°) = 25 N
F₂ₓ = 25 N cos(-160°) = -23.5 N
F₂ᵧ = 25 N sin(-160°) = -8.6 N
The x and y components of the resultant vector are the sums:
Fₓ = -43.3 N + -23.5 N = -66.8 N
Fᵧ = 25 N + -8.6 N = 16.4 N
The magnitude of the resultant force is:
F = √(Fₓ² + Fᵧ²)
F = √((-66.8 N)² + (16.4 N)²)
F = 68.8 N
The direction of the resultant force is:
θ = tan⁻¹(Fᵧ / Fₓ)
θ = tan⁻¹(16.4 N / -66.8 N)
θ = 166.2°
θ = 13.8°N of W
Answer:
A. you would want to use the 12 ound ball and the 18 mph speed in order to transfer the most kinetic energy
B. KE= 1/2 MV^2 so you would want to maximize both your Mass(weight of the ball) and Velocity(speed of the roll) in order to achive the greatest KE.
C. see image
Explanation:
Full disclosure not totally sure what you are being asked in the last one but I put togethere a rough sketch that is my best guess.
Answer:
Time taken, t = 4.86 seconds
Explanation:
Given that,
Acceleration of a particular automobile, 
Initial speed of the automobile, u = 75 km/h = 20.83 m/s
Final speed of the automobile, v = 110 km/h = 30.55 m/s
We need to find the time taken to accelerate from u to v. Let t is the time taken. It can be calculate as :


t = 4.86 seconds
So, the time taken by the automobile is 4.86 seconds. Hence, this is the required solution.
Answer:
The moment of inertia is 0.7500 kg-m².
Explanation:
Given that,
Mass = 2.2 kg
Distance = 0.49 m
If the length is 1.1 m
We need to calculate the moment of inertia
Using formula of moment of inertia

Where, m = mass of rod
l = length of rod
x = distance from its center
Put the value into the formula


Hence, The moment of inertia is 0.7500 kg-m².