Answer: 1.4 x 10^-8N
Explanation:
Given that,
Mass of Particle 1 (m1) = 12kg
Mass of Particle 2 (m2) = 25kg
distance between particles (r) = 1.2m. Gravitational force (F) =
Apply the formula for gravitational force:
F = Gm1m2/r²
where G is the gravitational constant with a value of 6.7 x 10^-11 Nm2/kg2
Then, F = (6.7 x 10^-11 Nm²/kg² x 12kg x 25kg) / (1.2m)²
F = (2.01 x 10^-8Nm²) / (1.44m²)
F = 1.396 x 10^-8N (Rounded to the nearest tenth as 1.4 x 10^-8N)
Thus, the magnitude of the gravitational force acting on the particles is 1.4 x 10^-8 Newton
Answer:
1800J
Explanation:
Step one:
given data
mass of bullet m= 3g= 0.03kg
initial velocity u = 400m/s
final velocity v= 200 m/s
Step two:
1.The bullet's lost kinetic energy went inside the tree.
2. The energy transferred is computed as
= initial KE- KE final
Initial KE= 1/2mu^2
Initial KE= 1/2*0.03*400^2
Initial KE= 1/2*0.03*160000
Initial KE= 1/2*4800
Initial KE= 2400J
KE final= 1/2mv^2
KE final= 1/2*0.03*200^2
KE final= 1/2*0.03*40000
KE final= 1/2*1200
KE final= 600J
KE transferred = 2400-600
KE transferred= 1800J
Answer:
a) It will take you 16.94 min to climb the stairs.
b) The numbers of flights are 123 flights.
Explanation:
a) Let the energy consumption while climbing the stairs be 685 W in kcal/min is given by:
rate of energy consumption = (685 W)×[(0.01433kcal/min)/1 W]
= 9.81605 kcal/min
the time it takes to climb the stairs is given by:
t = E/P
= (166.0 kcal)/(9.8 kcal/min)
= 16.94 min
Therefore, it will take you 16.94 min to climb the stairs.
b) Given t is the time it takes to climb stairs and N is the number of stairs to climb per min, then the number of stairs is:
n = t×N
= (16.94)×(116)
= 1965 stairs
given the number of stairs each flight as N1, then the number of flights is given by:
flights = n/N1
= (1965)/(16)
= 123 flights
Therefore, the numbers of flights are 123 flights.
