The ant's resultant velocity is 0.51 m/s at 78.7°
Since the ant is moving with a velocity of 0.1 m/s in the +x direction relative to the treadmill, and the treadmill is moving 0.5 m/s in the +y direction, the magnitude of the resultant velocity of the ant relative to the ground (since both directions are perpendicular) is thus
V = √(x² + y²)
= √[(0.1 m/s)² + (0.5 m/s)²]
= √[0.01 m²/s² + 0.25 m²/s²]
= √(0.26 m²/s²)
= 0.51 m/s.
The direction is Ф = tan⁻¹(y/x)
= tan⁻¹(0.5 m/s ÷ 0.1 m/s)
= tan⁻¹(5)
= 78.69°
≅ 78.7°
The ant's resultant velocity is 0.51 m/s at 78.7°
Learn more about resultant velocity here:
brainly.com/question/15093278
Answer:
Sample Response: If temperature and surface area increase, then the time it takes for sodium bicarbonate to completely dissolve will decrease, because increasing both factors increases the rate of a chemical reaction.
Explanation:
Answer:
1. Efficiency
2. Kinetic energy
3. Pulley
4. Screw
5. Wedge
Explanation:
1. Efficiency: the ratio of work output to work input or the ratio of actual mechanical advantage (AMA) to ideal mechanical advantage (IMA).
Mathematically, the efficiency of a machine is given by the formula;
2. Kinetic energy: the energy of a moving object. Kinetic energy (KE) is an energy possessed by an object or body due to its motion.
Mathematically, kinetic energy is given by the formula;
Where;
K.E represents kinetic energy measured in Joules.
M represents mass measured in kilograms.
V represents velocity measured in metres per seconds square.
3. Pulley: a grooved wheel over which a rope can move. It is made up of a wheel and rope which allows force to be multiplied such as in a drawing well.
4. Screw: a double-sided inclined plane. It is held in position and then used to tighten two or more objects together.
5. Wedge: an inclined plane wrapped around a cylinder. It can be used to split objects into halves.
Answer:
Trial 1 is the largest, trial 3 is the smallest
Explanation:
Given:
<em>Trial 1</em>
M₁ = 6·10²² kg
d₁ = 3 500 km = 3.5·10⁶ м
<em>Trial 2</em>
M₂ = 6·10²² kg
d₂ = 7 000 km = 7·10⁶ м
<em>Trial 3</em>
M₃ = 3·10²² kg
d₃ = 7 000 km = 7·10⁶ м
___________
F - ?
Gravitational force:
F₁ = G·m·M₁ / d₁² = m·6.67·10⁻¹¹·6·10²² / (3.5·10⁶)² = 0.37·m (N)
F₂ = G·m·M₂ / d₂² = m·6.67·10⁻¹¹·6·10²² / (7·10⁶)² = 0.08·m (N)
F₃ = G·m·M₃ / d₃² = m·6.67·10⁻¹¹·3·10²² / (7·10⁶)² = 0.04·m (N)
Trial 1 is the largest, trial 3 is the smallest
