Since both cars move together after the collision, then this is an example of an inelastic collision. The formula for an inelastic collision is as follows:
m1u1 + m2u2 = (m1 + m2)v
Where:
m1 = mass of the first object
m2 = mass of the second object
u1 = initial velocity of the first object
u2 = initial velocity of the second object
v = final velocity
Substituting the given values to solve for v:
900*22 + 900*15 = (900 + 900)v
v = 18.5 m/s
Answer:
A.−2.1 × 10^10 N
Explanation:
Using the formula;
E = k Q1Q2/d²
Where;
E is the electrical force
k is the constant
Q1, Q2 are the two charges and
d is the distance between the two charges
Therefore;
E = (9 x 10^9) × (0.0042) × (-0.0050) / (0.0030)²
= -2.1 x 10^10 N
Therefore; electrical force acting between the two charges is -2.1 x 10^10 N.
At a given moment in time, the instantaneous speed can be thought of as the magnitude of instantaneous velocity.
Instantaneous speed is the magnitude of the instantaneous velocity, the instantaneous velocity has direction but the instantaneous speed does not have any direction. Hence, the instantaneous speed has the same value as that of the magnitude of the instantaneous velocity. It doesn't have any direction.
same, stapler, gravity, motion, acceleration
Answer:
e. 2ωs / √5
Explanation:
The rotational kinetic energy of any rigid body, like an extension of the translational kinetic energy, is defined as follows:
Krot = 1/2 *I * ω²
For a solid sphere of mass M and radius R, the moment of inertia regarding any axis through its center, is as follows:
I =2/5 M*R²⇒ Krot(sp) = 1/2 (2/5 M*R²)*ωs² (1)
For a solid cylinder, rotating through an axis running through the central axis of the cylinder, the moment of inertia can be calculated as follows:
I = 1/2 M*R² ⇒ Krot(c) = 1/2 (1/2*M*R²)*ωc² (2)
As both rotational kinetic energies must be equal each other, we can equate (1) and (2), as follows:
1/2 (2/5 M*R²)*ωs² = 1/2 (1/2*M*R²)*ωc²
Simplifying common terms, and solving for ωc, we have:
ωc = 2*ωs /√5
