Explanation:
K.E. of marble 1 = (1/2) × 0.2 × (22/0.8) ^2
= 0.1 × 756.25
= 75.625
K.E. of marble 2 = (1/2) × 1.2 × (26/0.8)^2
= 0.6 × 1056.25
= 633.75
Answer:
a) 4.0 rad/s2
Explanation:
- For rigid bodies, Newton's 2nd law becomes :
τ = I * α (1)
where τ is the net external torque applied, I is the rotational inertia
of the body with respect to the axis of rotation, and α is the angular
acceleration caused by the torque.
- At the same time, we can apply the definition of torque to the left side of (1), as follows:
![\tau = F*r*sin \theta (2)](https://tex.z-dn.net/?f=%5Ctau%20%3D%20F%2Ar%2Asin%20%5Ctheta%20%282%29)
where τ = external net torque applied by Fnet, r is the distance
between the axis of rotation and the line of Fnet, and θ is the
angle between both vectors.
In this particular case, as Fnet is applied tangentially to the disk, Fnet
and r are perpendicular each other.
- Since left sides of (1) and (2) are equal each other, right sides are equal too, so we can solve for the angular acceleration as follows:
Answer:
142 weeks/52 weeks per year = 2.7 years
so the answer is 2.7 years
Explanation:
Answer:
The displacement is 20 m northward.
The distance is 44 m
Explanation:
Let northward motion be in positive direction
Let southward motion be in negative direction
Dispalcement is the shortest path covered by the hockey puck at a specified direction.
The dispalcement of the hockey puck will be calculated as;
Displacement = 26 m northward - 12m southward + 6 m northward
Displacement = 20 m in northward direction
Distance is the total path covered by the hockey puck.
Distance = 26 m + 12m + 6 m
Distance = 44 m