Answer:
Explanation:
We shall convert the displacement in vector form using unit vector i and j
consider east as x axis and north as y axis
170 km at 68.0° east of north
D₁ = 170 sin68 i + 170cos 68 j
= 157 i + 63.68 j
230 km at 36.0° south of east
D₂ = 230 cos36 i - 230 sin 36 j
= 186 i - 135.2 j
Resultant Displacement = D₁ +D₂
= 157 i + 63.68 j + 186 i - 135.2 j
= 343 i - 71.52 j
Resultant magnitude
= √ ( 343² + 71.52²
= 350 km
Angle
= tan⁻¹ ( - 71.52 / 343 )
12⁰ south of east .
Answer:
Initial velocity of the object, u = 5 m/s
Final velocity of the object, v = 8 m/s
Mass of the object, m = 100 kg
Time take by the object to accelerate, t = 6 s
Initial momentum = mu = 100 — 5 = 500 kg m sˆ’1
Final momentum = mv = 100 — 8 = 800 kg m sˆ’1
Force exerted on the object, F = mv – mu / t
= m (v-u) / t
= 800 – 500
= 300 / 6
= 50 N
Initial momentum of the object is 500 kg m sˆ’1.
Final momentum of the object is 800 kg m sˆ’1.
Force exerted on the object is 50 N.
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Answer:
Metals have more mass per unit of volume than wood.
Explanation:
Density is defined as the amount of matter contained in a unit of volume. A material that is denser than another will therefore have more mass per unit of volume.
The density of a body can affect buoyancy, bodies with low enough densities can float in fluids. For example wood can float in water while metals can't.
Answer:
Explanation:
Car is 25 m long . worker moves at speed 3.0 m/s with respect to the car
Time taken to reach the other end
= 25 / 3 = 8.333 s
Displacement of flatcar during this period
= 7 x 8.333
= 58.33 m
