Determine the projection of on
where
and
To determine the projection of \(\vec{A} + 2\vec{B}\) on \(\vec{B}\), we use the projection formula: \[ \text{Proj}_{\vec{B}} (\vec{A} + 2\vec{B}) = \frac{(\vec{A} + 2\vec{B}) \cdot \vec{B}}{\|\vec{B}\|^2} \vec{B} \] ### Step 1: Compute \(\vec{A} _____ ____ ______ ___ ____ _________ _________.
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A 1400 kg car moving south a is struck by a 1800 kg car moving east at
The cars are stuck together. How fast and in what direction do they move immediately after the collision? (2016
A box of mass 8 kg slides at a speed of across a smooth level floor before it encounters a rough patch of length 3.0 m. The frictional force on the box due to this part of the floor is 70 N. What is the speed of the box when it leaves this rough surface? What length of the rough surface would bring the box completely to rest?
A progressive transverse wave is given by
where t is in seconds. Determine the direction of propagation of the wave and calculate its amplitude, wavelength, frequency and velocity.
Determine the projection of on
where
and
A ball of mass 0.5 kg collides with a wall at a speed of
and bounces back with a speed of
.If the average force exerted by the ball is 1100 N calculate the impulse and the time for which the collision lasted.
The distance between the oxygen molecule and each of the hydrogen atoms in a wate molecule is 0.96 Å and the angle between the two oxygen-hydrogen bonds is 105°. Treating the atoms as particles, find the centre of mass of the system.