Answer:
f = 347.08 N
Explanation:
The frictional force exerted by the floor on the refrigerator is given as follows:
where,
f = frictional force = ?
μ = coefficient of static friction = 0.58
W = Weight of refrigerator = mg
m = mass of refrigerator = 61 kg
g = acceleration due to gravity = 9.81 m/s²
Therefore,
<u>f = 347.08 N</u>
Answer:
16 times as strong
Explanation:
From the question given above, the following assumptions were made:
Initial Force (F₁) = F
Initial distance apart (r₁) = r
Final distance apart (r₂) = ¼r
Final force (F₂) =?
Next, we shall obtain a relationship between the force and the distance apart. This can be obtained as follow:
F = GM₁M₂ / r²
Cross multiply
Fr² = GM₁M₂
If G, M₁ and M₂ are kept constant, then,
F₁r₁² = F₂r₂²
Finally, we determine the new force as follow:
Initial Force (F₁) = F
Initial distance apart (r₁) = r
Final distance apart (r₂) = ¼r
Final force (F₂) =?
Fr² = F₂ × (¼r)²
Fr² = F₂ × r²/16
Fr² = F₂r² / 16
Cross multiply
16Fr² = F₂r²
Divide both side by r²
F₂ = 16Fr² / r²
F₂ = 16F
From the calculations made above, we can see that the new force is 16 times the original force.
Thus, the new force is 16 times stronger.
Answer:
16 pigs
Explanation:
Let the horses be H.
Let the pigs be P
Let the total number of animals be x.
Given the following data;
Ratio of P to H = 2:3 = 2 + 3 = 5
Number of horses = 24
To find the number of pigs;
First of all, we would determine the total number of animals x.
From the ratio of horse, H:
3/5 * x = 24
Cross-multiplying, we have;
3x = 120
x = 120/3 = 40
Next, we find the number of pigs;
Pigs = 2/5 * 40
Pigs = 80/5 = 16 pigs
Answer:
Explanation:
Magnetic field due to a solenoid
B = μ₀ nI where n is no of turns per unit length and I is current
for outer layer of turns
B = μ₀ x (250 / .3) x 3
= 4π x 10⁻⁷ x (250 / .3) x 3
= 3.14 x 10⁻³ T
for inner layer of turns
B = μ₀ x (300 / .3) x 3
= 4π x 10⁻⁷ x (300 / .3) x 3
= 3.77 x 10⁻³ T
Total magnetic field
= (3.14 + 3.77 ) x 10⁻³ T
= 6.91 x 10⁻³ T .
