Answer:
0 m/s
Explanation:
At the highest point, the vertical velocity is 0 m/s.
There's no horizontal velocity.
So the total velocity at the highest point is 0 m/s.
Answer:
4.281 kgm/s upward
Explanation:
Impulse:This can be defined product of force and time. The S.I unit of impulse is Ns.
From Newton's second law of motion,
Impulse = Change in momentum.
I = mΔv....................... Equation 1.
Where m = mass of the ball, Δv = change in velocity of the ball
and Δv = v -u
Where u = velocity of the ball before it hit the floor, v = velocity of the ball after if hit the floor
I = m(v-u) -------------- Equation 2
But
the initial kinetic energy of the ball = potential energy at the initial height (1.2 m above)
1/2mu² = mgh₁
Where h₁ = initial height. or height of the ball before collision
making u the subject of the equation,
u = √(2gh₁)........................ Equation 3
Where h₁ = 1.2 m g = 9.81 m/s²
Substitute into equation 3
u = √(2×1.2×9.81)
u =√(23.544)
u = -4.852 m/s.
Note: u is negative because the ball was moving downward at the first instance.
Similarly,
v = √(2gh₂)............................. Equation 3
h₂ = height of the ball after collision
Given: h₂ = 0.7 m, g = 9.81 m/s²
Substitute into equation
v = √(2×9.81×0.7)
v = √13.734
v = 3.71 m/s.
Also given: m = 0.5 kg,
Substituting into equation 2
I = 0.5(3.71-(4.852)
I = 0.5(8.562)
I = 4.281 kgm/s. Upward.
Thus the impulse = 4.281 kgm/s upward
circumstances?
Answer:
The John 's speed is 20 m/s.
The Betty's speed is 20 m/s
Explanation:
Given that,
John is traveling north at 20 meters/second and his friend Betty is traveling south at 20 meters/second.
We need to calculate the John and Betty's speeds
We know that,
The speed is a scalar quantity. its has only magnitude.
Hence, The John 's speed is 20 m/s.
The Betty's speed is 20 m/s
Sound waves, water waves, and light waves all spread out from a source and can transfer energy without transporting matter. They obey the principle of superposition and can be reflected, refracted, and diffracted. Examples also in many practical scenarios support the concept.
All sound waves, water waves, and light waves share some common properties as they are all types of wave motion. These waves all spread out from a source and can transfer energy without transporting matter. They also follow the principle of superposition, where the resultant wave amplitude is the sum of the individual wave amplitudes. Additionally, they can be reflected, refracted, and diffracted.
For example, when throwing a pebble into a pond, the water waves spread out in rings from where the pebble was dropped (the source). The waves transfer the energy of the impact through the water, yet the water molecules themselves don't travel in the direction of the wave's motion—they merely move up and down.
The same principles apply to sound waves and light waves, though the type of energy transferred and the manner in which they're affected by the medium they're passing through can differ.
#SPJ2
Answer:
420.17 nm
Explanation:
Given:
f = 7.14 × 10¹⁴Hz
c = 3 × 10⁸ m/s
c = fλ
λ = c/f
= 420.17 nm