The correct answer is: Option (3) 9.8 N/kg
Explanation:
According to Newton's Law of Gravitation:
--- (1)
Where G = Gravitational constant = 6.67408 × 10⁻¹¹ m³ kg⁻¹ s⁻²
m = Mass of the body = 2 kg
M = Mass of the Earth = 5.972 × 10²⁴ kg
R = Distance of the object from the center of the Earth = Radius of the Earth + Object's distance from the surface of the Earth = (6371 * 10³) + 3.0 = 6371003 m
Plug in the values in (1):
(1)=>
Now that we have force strength at the location, we can use:
Force = mass * gravitational-field-strength
Plug in the values:
19.63 = 2.0 * gravitational-field-strength
gravitational-field-strength = 19.63/2 = 9.82 N/kg
Hence the correct answer is Option (3) 9.8 N/kg
The final object will move with a speed of 1.9 x 10⁻² m/s.
According to the law of conservation of momentum, when two objects meet in a closed system, the sum of their momentums before and after the collision is constant.
Here,
Initial velocity of the bullet, u = 100 m/s
Mass of the bullet, m = 15 g = 0.015 kg
Mass of the object, M = 75 kg
Total momentum before collision, P₁ = mu + (M x 0)
P₁ = 0.015 x 100
P₁ = 1.5 Kgm/s
Total momentum after collision, P₂ = (m + M)v
P₂ = (0.015 + 75)v
P₂ = 75.015 v
According to law of conservation of momentum,
P₁ = P₂
1.5 = 75.015 v
Therefore, the speed with which the final object moves,
v = 1.5/75.015
v = 1.9 x 10⁻² m/s
Hence,
The final object will move with a speed of 1.9 x 10⁻² m/s.
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3. Red star
4. Blue star
5. Orange star
Answer: Blue star.
Explanation:
are
(1) 7.5 m/s vertical and 13 m/s horizontal
(2) 13 m/s vertical and 7.5 m/s horizontal
(3) 6.0 m/s vertical and 9.0 m/s horizontal
(4) 9.0 m/s vertical and 6.0 m/s horizontal
The components of the velocity are :
(2) 13 m/s vertical and 7.5 m/s horizontal
Vector is a quantity that has a magnitude and direction.
A vector in a cartesian coordinate is represented by an arrow in which the slope of the arrow shows the direction of the vector and the length of the arrow shows the magnitude of the vector.
A position vector of a point is a vector drawn from the base point of the coordinates O (0,0) to that point.
The addition of two vectors can be done in the following ways:
A negative vector is a vector with the same magnitude but in opposite direction.
Let's tackle the problem!
Given:
magnitude of the velocity = v = 15 m/s
direction of the velocity = θ = 60°
Asked:
horizontal component of the velocity = v_x = ?
vertical component of the velocity = v_y = ?
Solution:
Firstly , we will calculate the horizontal component of the velocity as follows:
Next , we will calculate the vertical component of the velocity as follows:
Grade: High School
Subject: Physics
Chapter: Vectors
Answer: The acceleration of the object will be 4000
Explanation:
According to second law of motion:
Unit of the force:
According to question we have :
Force = 20 N
Mass of the object = 5 g = 0.005 kg (1 kg =1000 g)
Acceleration = ?
By using the second law of motion = F= ma
The acceleration of the object will be 4000